Contribution of $b\to sgg$ through the QCD anomaly in exclusive decays $B^{\pm }\to ({\eta }^{\prime },\eta )(K^{\pm },K^{\ast \pm })$ and $B^0\to ({\eta }^{\prime },\eta )(K^0,K^{\ast 0})$

Abstract

We compute the decay rates for the exclusive decays $B^{\pm }\to ({\eta }^{\prime },\eta )(K^{\pm },K^{\ast \pm })$ and $B^0\to ({\eta }^{\prime },\eta )(K^0,K^{\ast 0})$ in a QCD-improved factorization framework by including the contribution from the process $b\to sgg\to s({\eta }^{\prime },\eta )$ through the QCD anomaly. This method provides an alternative estimate of the contribution $b\to sc\bar{c}\to s(\eta ,{\eta }^{\prime })$ to these decays as compared to the one using the intrinsic charm content of the ${\eta }^{\prime }$ and $\eta$ mesons determined through the decays $J/\psi \to (\eta ,{\eta }^{\prime },{\eta }_c)\gamma$. The resulting branching ratios are compared with the CLEO data on $B^{\pm }\to {\eta }^{\prime }{K}^{\pm }$ and $B^0\to {\eta }^{\prime }{K}^0$ and predictions are made for the rest.

16 pages including 4 postscript figures; uses epsfig. The most recent branching ratios from CLEO, ref. [5], are taken into account. The theory part is unchanged

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